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Finding the Fourth Proportional to 1,034.78, 1,428.03 and 740.75

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Solution

The fourth proportional to 1,034.78, 1,428.03 and 740.75 is: 1,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.78 : 1,428.03 = 740.75 : x
  2. Step 2: Convert to fraction form
    1,034.78/1,428.03 = 740.75/x
  3. Step 3: Cross multiply
    1,034.78x = 1,428.03 × 740.75
  4. Step 4: Simplify right side
    1,034.78x = 1,057,813.22
  5. Step 5: Solve for x
    x = 1,057,813.22/1,034.78
  6. Step 6: Final answer
    x = 1,022.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.